3 years ago

Check all of the ordered pairs that satisfy the equation below y equals 2 / 3 x

Mathematics

1 answer:

yanalaym [24]3 years ago

5 0

Answer:

where are the ordered pairs

Step-by-step explanation:

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If M is the midpoint of XY, find the coordinates of X if M(-3,-1) and Y(-8,6)

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$\bf \textit{middle point of 2 points }\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
X&({{ a}}\quad ,&{{ b}})\quad 
% (c,d)
Y&({{ -8}}\quad ,&{{ 6}})
\end{array}\qquad
% coordinates of midpoint 
\left(\cfrac{{{ x_2}} + {{ x_1}}}{2}\quad ,\quad \cfrac{{{ y_2}} + {{ y_1}}}{2} \right)$

$\bf \left( \cfrac{-8+a}{2}~,~\cfrac{6+b}{2} \right)=\stackrel{M}{(-3,-1)}\implies 
\begin{cases}
\cfrac{-8+a}{2}=-3\\\\
-8+a=-6\\
\boxed{a=2}\\
----------\\
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6+b=-2\\
\boxed{b=-8}
\end{cases}$

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Step-by-step explanation:

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